ГДЗ по алгебре 7 класс Макарычев ФГОС Задание 923

\[\boxed{\text{923.}\text{\ }еуроки - ответы\ на\ пятёрку}\]

\[\textbf{а)}\ 8x³ - 1 =\]

\[= (2x - 1)(4x^{2} + 2x + 1)\]

\[\textbf{б)}\ 1 + 27y³ =\]

\[= (1 + 3y)(1 - 3y + 9y^{2})\]

\[\textbf{в)}\ 8 - \frac{1}{8}a^{3} =\]

\[= \left( 2 - \frac{1}{2}a \right)\left( 4 + a + \frac{1}{4}a^{2} \right)\]

\[\textbf{г)}\frac{1}{64}m³ + 1000 =\]

\[= \left( \frac{1}{4}m + 10 \right)\]

\[\left( \frac{1}{16}m^{2} - \frac{5}{2}m + 100 \right)\]

\[\textbf{д)}\ 125a³ - 64b^{3} =\]

\[= (5a - 4b)\]

\[(25a^{2} + 20ab + 16b^{2})\]

\[\textbf{е)}\frac{1}{27}x³ + \frac{1}{125}y³ =\]

\[= \left( \frac{1}{3}x + \frac{1}{5}y \right)\]

\[\left( \frac{1}{9}x^{2} - \frac{1}{15}xy + \frac{1}{25}y^{2} \right)\]